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Ainat [17]
2 years ago
5

A savings account earns 8% interest each year, compounded quarterly (4 times a year). If a person invests $100 and makes no furt

her deposits or withdrawals, what is the balance in the account after 3 years?
Mathematics
1 answer:
Margaret [11]2 years ago
6 0

Answer:

251.817012

Step-by-step explanation:

1. Write out equation to get 100(1.08)^n*4

2.  Use 3 for n

3. Simplify to get 100(1.08)^12

4. Solve to get 251.817012

You might be interested in
What is the volume of the cylinder?
Genrish500 [490]

Answer:

<u>The correct answer is D.2.010.62 feet³</u>

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Diameter (D) of the cylinder  = 16 feet

Height (h) of the cylinder = 10 feet

2. Let's use the correct formula to calculate the volume:

Volume of a cylinder = (π * D² *h)/4

Replacing with the real values, we have:

Volume of a cylinder  = (3.1416 * 16² * 10)/4

Volume of a cylinder  = (3.1416 * 256 * 10)/4

Volume of a cylinder  = (3.1416 * 2,560)/4

<u>Volume of a cylinder  = 8,042.5/4 = 2.010.62 feet³</u>

<u>The correct answer is D.2.010.62 feet³</u>

6 0
2 years ago
My divisor is 4/7 and my quotient is 7/24. what is the dividend
kompoz [17]

Answer:

1/6.

Step-by-step explanation:

x / 4/7 = 7/24  where x is the dividend.

7x/4  = 7/24

Cross multiply:

7x * 24 =  4*7

x = 28/(7*24)

= 28/168

= 1/6.

3 0
3 years ago
What is the sum of the exterior angles of a convex polygon?
Volgvan

Answer:

A

Step-by-step explanation:

The sum of the exterior angles for each polygon is always 360°.

The sum of the interior angles for each polygon is always 180°(n-2).

If you have n-sided convex polygon, then

\left(\text{Sum of all interior angles}\right)+ \left(\text{ Sum of all exterior angles}\right)=180^{\circ}\cdot n

So,

\left(\text{Sum of all interior angles}\right)+ 180^{\circ}\cdot (n-2)=180^{\circ}\cdot n\\ \\\left(\text{Sum of all interior angles}\right)=180^{\circ}\cdot n-180^{\circ}\cdot (n-2)=180^{\circ}\cdot (n-n+2)=360^{\circ}

8 0
3 years ago
2. A rectangle has a perimeter of 100. Its
slava [35]

Answer:

Option H

Step-by-step explanation:

Perimeter of rectangle= 2(length) +2(width)

100= 2(5a -22) +2[½(a +1)]

Expand:

100= 2(5a) +2(-22) +a +1

100= 10a -44 +a +1

Simplify:

100= 11a -43

+43 on both sides:

11a= 100 +43

11a= 143

Divide both sides by 11:

a= 143 ÷11

a= 13

Thus, option H is correct.

8 0
3 years ago
What is the distance between (1,-5) and (-3,6)​
Wewaii [24]

Answer:

\large\boxed{\sqrt{137}\approx11.7}

Step-by-step explanation:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have two points (1, -5) and (-3, 6). substitute:

d=\sqrt{(-3-1)^2+(6-(-5))^2}=\sqrt{(-4)^2+11^2}=\sqrt{16+121}=\sqrt{137}

4 0
3 years ago
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